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                Orz the MST                </h1>
                <p>时间限制：20s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><div><span style="font-size: medium">给出一个带权的连通无向图，对于其中的每条边i，在原来边权的基础上，其边权每增加1需要付出的代价为Ai，边权每减少1需要付出的代价为Bi，现在指定该图的一棵生成树，求通过修改边权，使得该生成树成为图的一棵最小生成树，需要付出的最少总代价。</span></div>
<div><span style="font-size: medium">&nbsp;</span></div></p><hr/><h3>输入格式</h3><p><div><span style="font-size: medium">第一行两个正整数N, M，表示图的点数和边数，点以1~N编号；</span></div>
<div><span style="font-size: medium">接下来M行，每行六个正整数Ui, Vi, Wi, FFi, Ai, Bi，表示一条边(Ui, Vi)权为Wi，在原边权基础上增加1的边权代价为Ai，减少1的边权代价为Bi，FFi若为1则表示该边在指定的生成树中，若为0表示不在。数据保证FF值为1的边刚好组成原图的一棵生成树。两点之间可能有多条不同的边，但没有连接同一点的边。</span></div>
<div><span style="font-size: medium">&nbsp;</span></div></p><hr/><h3>输出格式</h3><p><div>&nbsp;</div>
<div><span style="font-size: medium">输出一个正整数，表示所需付出的最少总代价。</span></div>
<div><span style="font-size: medium">&nbsp;</span></div></p><hr/><h3>样例输入</h3><pre>
6 8
1 2 3 1 4 2
1 4 2 0 3 4
2 3 5 1 2 1
2 4 4 1 3 5
3 5 2 0 1 3
3 6 1 0 2 4
4 5 7 1 3 2
5 6 5 1 5 4
 
</pre><hr/><h3>样例输出</h3><pre>
21
 
</pre><hr/><h3>提示</h3><p><p>【Hint】<br />
样例解释：<br />
最优方案为：(1, 4)边权加2，代价6；(3, 5)边权加3，代价3；(3, 6)边权加4，代价8；(4, 5)边权减2，代价4；总代价21。<br />
数据范围：<br />
1&lt;=N&lt;=300, 1&lt;=M, Wi, Ai, Bi&lt;=1000。</p></p><hr/><h3>题目来源</h3><p>Mato_No1提供</p>
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